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arXiv · hep-th/0106128

Generating Small Numbers by Tunneling in Multi-Throat Compactifications

S. Dimopoulos·S. Kachru·N. Kaloper·A. Lawrence·E. Silverstein
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Abstract

A generic F-theory compactification containing many D3 branes develops multiple brane throats. The interaction of observers residing inside different throats involves tunneling suppression and, as a result, is very weak. This suggests a new mechanism for generating small numbers in Nature. One application is to the hierarchy problem: large supersymmetry breaking near the unification scale inside a shallow throat causes TeV-scale SUSY-breaking inside the standard-model throat. Another application, inspired by nuclear-decay, is in designing naturally long-lived particles: a cold dark matter particle residing near the standard model brane decays to an approximate CFT-state of a longer throat within a Hubble time. This suggests that most of the mass of the universe today could consist of CFT-matter and may soften structure formation at sub-galactic scales. The tunneling calculation demonstrates that the coupling between two throats is dominated by higher dimensional modes and consequently is much larger than a naive application of holography might suggest.

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S. Dimopoulos, S. Kachru, N. Kaloper, A. Lawrence, E. Silverstein. 2001-07-06. Generating Small Numbers by Tunneling in Multi-Throat Compactifications. https://doi.org/10.1142/s0217751x04018075

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